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The Quarterly Journal of Mechanics and Applied Mathematics 1962 15(3):303-315; doi:10.1093/qjmam/15.3.303
© 1962 by Oxford University Press
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ON THE FLEXURE PROBLEM PARTI

E. DEUTSCH

( Professional School Element Gottwald Bucharest )

A formal solution is given to the problem of flexure in the case when the mapping-function which maps conformally the cross-section of the beam on a unit circle is known as a power series.

The method is illustrated by applying it to the flexure problem of a prismatic beam whose cross-section is: (a) a regular m-sided curvilinear polygon; (b) an elliptic limaçon.


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